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Deanship of Graduate Studies
Document Details
Document Type
:
Thesis
Document Title
:
C-paracompact and C_2-paracompact Topological Spaces
الفراغات التوبولوجية C و C2 للتراص الفوقي
Subject
:
Faculty of Science
Document Language
:
Arabic
Abstract
:
In this dissertation, we study and discuss two new topological properties, which introduced by Arhangel’skii . They are C-paracompactness and C_2-paracompactness. We give a comperhensive study of these two properties. We start by studying the continuity of their witness functions and show the independence of C-paracompactness and C_2-paracompactness with other similar properties such as paracompactness and C-normality. Then we study their additive and hereditary . We study also the relationship of these two properties with other topological properties such as minimality of Hausdorff compactness topology, epinormality , and submertizability . By studying their multiplicity , we answer , in positive , a suggested problem of Arhangel’skii which is the following statement “Is there a T_4 space which is not C_2-paracompactness ? " This allows us to give another main result which is the following statement: “The sigma product space ∑▒〖(())〗 cannot be condensed onto a T_2 paracompact (normal) space."
Supervisor
:
Dr. Lutfi Kalantan
Thesis Type
:
Doctorate Thesis
Publishing Year
:
1441 AH
2019 AD
Added Date
:
Wednesday, September 25, 2019
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
هالة زكي الزمعي
Alzumi, Hala Zaki
Researcher
Doctorate
Files
File Name
Type
Description
45036.pdf
pdf
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